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Finding the Fourth Proportional to 382,714.80, 572,711.40 and 333,337.20

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Solution

The fourth proportional to 382,714.80, 572,711.40 and 333,337.20 is: 498,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,714.80 : 572,711.40 = 333,337.20 : x
  2. Step 2: Convert to fraction form
    382,714.80/572,711.40 = 333,337.20/x
  3. Step 3: Cross multiply
    382,714.80x = 572,711.40 × 333,337.20
  4. Step 4: Simplify right side
    382,714.80x = 190,906,014,484.08
  5. Step 5: Solve for x
    x = 190,906,014,484.08/382,714.80
  6. Step 6: Final answer
    x = 498,820.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.